314033065345657 has 32 divisors (see below), whose sum is σ = 369247882752000. Its totient is φ = 261540341157888.

The previous prime is 314033065345621. The next prime is 314033065345669. The reversal of 314033065345657 is 756543560330413.

It is a cyclic number.

It is not a de Polignac number, because 314033065345657 - 2⁷ = 314033065345529 is a prime.

It is a super-2 number, since 2×314033065345657² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314033065345598 and 314033065345607.

It is not an unprimeable number, because it can be changed into a prime (314033065345607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1514907 + ... + 25106992.

It is an arithmetic number, because the mean of its divisors is an integer number (11538996336000).

Almost surely, 2^{314033065345657} is an apocalyptic number.

It is an amenable number.

314033065345657 is a deficient number, since it is larger than the sum of its proper divisors (55214817406343).

314033065345657 is a wasteful number, since it uses less digits than its factorization.

314033065345657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26622325.

The product of its (nonzero) digits is 40824000, while the sum is 55.

The spelling of 314033065345657 in words is "three hundred fourteen trillion, thirty-three billion, sixty-five million, three hundred forty-five thousand, six hundred fifty-seven".